Question

which expression is equivalent to (sqrt6{3s})? ((3s)^{\frac{1}{6}}) (3s^{\frac{1}{6}}) (\frac{s}{2}) ((3s)^{6})

Explanation:

Step1: Recall root-to-exponent rule

For any non-negative real number $a$ and positive integer $n$, $\sqrt[n]{a} = a^{\frac{1}{n}}$.

Step2: Apply rule to the given expression

Here, $a=3s$ and $n=6$, so $\sqrt[6]{3s} = (3s)^{\frac{1}{6}}$.

Answer:

A. $(3s)^{\frac{1}{6}}$